Skip to main content
Super TutorResources
Chapter 14 of 31
Revision Notes

Differentiation Of Trigonometric Functions — Revision Notes

Telangana Open School (TOSS) · Class 12 · Mathematics

Differentiation Of Trigonometric Functions revision notes for Telangana Open School (TOSS) Class 12 Mathematics: 4 topics in quick points.

51 questions25 flashcards16 formulas & key relations4 concepts

Interactive on Super Tutor

Studying Differentiation Of Trigonometric Functions? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

Key Topics to Revise

1

Derivatives from First Principle

  • The derivative of a function is defined as the limit of the difference quotient.
  • Standard limits used: $\lim_{x \to 0} \frac{\sin x}{x} = 1$, $\lim_{x \to 0} \frac{\tan x}{x} = 1$.
  • Use trigonometric identities like $\sin C - \sin D$ and $\cos C - \cos D$ to simplify expressions.
2

Derivatives of Inverse Trigonometric Functions

  • Inverse trigonometric functions have specific domains and ranges
  • Their derivatives involve square roots and absolute values
  • Chain rule is essential when differentiating composite inverse functions
3

Product, Quotient and Chain Rules

  • Product rule: $(uv)' = u'v + uv'$
  • Quotient rule: $\left(\frac{u}{v}\right)' = \frac{u'v - uv'}{v^2}$
  • Chain rule: $\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}$
4

Second Order Derivatives

  • Second derivative is the derivative of the first derivative
  • Denoted as $\frac{d^2y}{dx^2}$ or $y''$
  • Used to determine concavity and points of inflection

Get complete notes with diagrams and examples

Full Notes

Key Concepts

The derivative of a functionKey results includeUsing substitution and chain ruleThe second derivative is the derivative

Frequently Asked Questions

What are the important topics in Differentiation Of Trigonometric Functions for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Differentiation Of Trigonometric Functions include Derivatives from First Principle, Derivatives of Inverse Trigonometric Functions, Product, Quotient and Chain Rules, Second Order Derivatives. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How should I revise Differentiation Of Trigonometric Functions for the Telangana Open School (TOSS) Class 12 board exam?
Learn the core ideas first, then work through the 51 practice questions on Differentiation Of Trigonometric Functions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Differentiation Of Trigonometric Functions

All Telangana Open School (TOSS) Class 12 Mathematics Revision Notes

For serious students

Get the full Differentiation Of Trigonometric Functions chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Open School (TOSS) Class 12 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free